feat(analytics): wire growth event tracking on PostHog base

Add the analytics events the activation funnel needs from the desktop
client side, on top of the PR #778 PostHog migration:

- workspace_growth_rewards_click — fired when the sidebar "share nexu /
  earn extra credits" growth banner is clicked.
- workspace_click_usage_detail — fired when the credits balance popup
  "view usage detail" button is clicked.
- user_message_sent.state — controller analytics service now tags each
  user_message_sent with state="Success" or state="false". Failure is
  detected by openclaw:prompt-error transcript entries arriving before
  the assistant response; success is the default and gets confirmed
  when the assistant message lands.
- AnalyticsAuthSource type now also accepts "home" so the home page
  can be the source of an auth click. The desktop side of the
  signup_success / login_success plumbing (source pass-through to
  cloud) is still pending — that side has to be done together with the
  cloud auth-init schema and is intentionally left out of this commit.

The user_message_sent.credit_charged property the funnel spec also
mentions cannot be implemented client-side: there is no per-message
credit consumption pipeline yet. cloud's credit_usages table is empty
of llm-call entries, link writes link.usage_events (USD cost) but
nothing transforms USD into credit and writes credit_usages, and link
does not record channel either. That work belongs to the cloud team
under the existing credit consumption track and is documented in
specs/current/credit.md.

Author: lefarcen

apps/controller/src/services/analytics-service.ts

@@ -39,12 +39,15 @@ type TranscriptEntry = {
   };
 };
 
+type AnalyticsMessageState = "Success" | "false";
+
 type UserMessageCandidate = {
   id: string;
   timestampMs: number;
   createdAt: string | null;
   providerName: string | null;
   channel: AnalyticsChannel;
+  state: AnalyticsMessageState;
 };
 
 type SkillUseCandidate = {
@@ -217,6 +220,7 @@ export class AnalyticsService {
           {
             channel: userMessage.channel,
             model_provider: userMessage.providerName,
+            state: userMessage.state,
           },
           userMessage.timestampMs,
         );
@@ -447,6 +451,38 @@ export class AnalyticsService {
         continue;
       }
 
+      // Resolve any pending user messages as failed when openclaw reports a
+      // prompt error. Each error entry's parentId points back to the user
+      // message that triggered it; the cheapest correct interpretation is
+      // "any user message that hasn't yet been answered when this error
+      // arrives is a failure".
+      if (
+        entry.type === "custom" &&
+        entry.customType === "openclaw:prompt-error"
+      ) {
+        const errorProvider =
+          typeof entry.data?.provider === "string" ? entry.data.provider : null;
+        if (errorProvider) {
+          currentProvider = errorProvider;
+        }
+        for (const index of pendingUserIndexes) {
+          const message = userMessages[index];
+          if (!message) {
+            continue;
+          }
+          userMessages[index] = {
+            id: message.id,
+            timestampMs: message.timestampMs,
+            createdAt: message.createdAt,
+            providerName: errorProvider ?? message.providerName,
+            channel: message.channel,
+            state: "false",
+          };
+        }
+        pendingUserIndexes.length = 0;
+        continue;
+      }
+
       if (entry.type !== "message" || !entry.message) {
         continue;
       }
@@ -465,6 +501,7 @@ export class AnalyticsService {
           createdAt: entry.timestamp ?? null,
           providerName: currentProvider,
           channel: params.channel,
+          state: "Success",
         });
         pendingUserIndexes.push(userMessages.length - 1);
         continue;
@@ -491,6 +528,7 @@ export class AnalyticsService {
             createdAt: message.createdAt,
             providerName,
             channel: message.channel,
+            state: message.state,
           };
         }
       }

apps/web/src/layouts/workspace-layout.tsx

@@ -963,6 +963,7 @@ function WorkspaceLayoutInner() {
                   data-sidebar-growth-card="rewards"
                   className="group mx-3 mb-2 flex items-center gap-3 rounded-[12px] border border-[#F5DFC0]/50 bg-gradient-to-br from-[#FFF8F0] via-[#FFFAF5] to-[#FFF5EB] px-3.5 py-3 shadow-[0_1px_3px_rgba(245,200,120,0.08)] transition-all duration-200 hover:border-[#F0D0A0]/60 hover:shadow-[0_2px_8px_rgba(245,200,120,0.15)]"
                   onClick={() => {
+                    track("workspace_growth_rewards_click");
                     track("workspace_rewards_click");
                     track("workspace_sidebar_click", { target: "rewards" });
                   }}
@@ -1049,6 +1050,7 @@ function WorkspaceLayoutInner() {
                         className="mt-2.5 flex w-full items-center justify-between border-t border-border/60 pt-2.5 text-[11px] font-medium text-text-secondary transition-colors hover:text-text-primary"
                         onClick={() => {
                           setShowBalancePopup(false);
+                          track("workspace_click_usage_detail");
                           track("workspace_sidebar_click", {
                             target: "credits_popup_detail",
                           });

apps/web/src/lib/tracking.ts

@@ -4,7 +4,7 @@ import posthog, {
   type Property,
 } from "posthog-js";
 
-export type AnalyticsAuthSource = "welcome_page" | "settings";
+export type AnalyticsAuthSource = "welcome_page" | "settings" | "home";
 export type AnalyticsChannel =
   | "qqbot"
   | "dingtalk"
@@ -209,6 +209,9 @@ export function normalizeAuthSource(
   if (source === "settings") {
     return "settings";
   }
+  if (source === "home") {
+    return "home";
+  }
   if (!source || source === "Landing" || source === "welcome_page") {
     return "welcome_page";
   }